It is possible to view the HTML in Code inspector and the Stylesheet in Code view, but as far as I can tell not the other way around. To do this, the stylesheet must be a 'related' file. So, you'd open the HTML page in Split view, click on the related file stylesheet so that its markup is shown in Code view, and press F10 to open the Code inspector.

I think you need to expand the DW application window to cover the second monitor as well, in order to display pages on it. I don't think DW allows you to 'float' pages without the application window being under them.

At least, I haven't found the way to do it yet. That would be handy. Now that you mention it...

Hmm, I'm using CS4 on W7 and when I try to drag a page to the other monitor (as I can in PS), it doesn't allow it. It acts like the application window has overflow:hidden (to put it in perspective) being used on it.

To me it appears that Jac4607 wants to have the HTML of the page on one monitor and the CSS for it on the other, side by side, rather than having them stacked together on one or reduced in size so they fit side by side in the application window...

Open a CSS file. Press F10 to open Code inspector. Move Code inspector to the second monitor. Switch to another tab in DW. Now you have Design view in one window and CSS in another. But I'll tell you the truth, with DW's CSS navigator and CSS inspect mode, I don't see any real appeal to this contorted arrangement.